JP4125657B2 - Displacement correction method for rotating spindle - Google Patents

Description

  The present invention relates to a method for performing a necessary correction for an operating part at the tip of a main shaft in response to heat generated in the rotating main shaft.

  When the main shaft rotates, the main shaft is heated by the heat generated in the heat generating portion such as the bearing portion by the ball bearing and the connection portion with the drive motor, and due to the heating, the axial direction of the working portion at the tip of the main shaft Each position changes.

  The change in the position is usually referred to as thermal displacement. Conventionally, in order to prevent the thermal displacement, the main shaft and its periphery are cooled by a cooler. Cannot disappear completely.

  In view of such a situation, conventionally, temperature measurement is performed at or near the heat generating portion, and the amount of thermal displacement is calculated by a mathematical formula relating to the thermal displacement set in advance based on the measured temperature, and the spindle is calculated based on the calculated value. The position of the operating part at the tip of the head is corrected.

  Originally, the displacement of the main shaft does not change in response to only the temperature change in the heat generating portion and its vicinity.

  Reflecting this situation, in the method according to the prior art, the thermal displacement is calculated by a predetermined mathematical formula using the measured temperature at the heat generating part or the vicinity thereof as the input temperature, but how complicated the mathematical formula is adopted. By the way, it is difficult to accurately calculate the thermal displacement as long as the input temperature to the computer that performs the calculation based on the mathematical formula is limited to the temperature of the heat generating portion or the vicinity thereof.

  On the other hand, a method of calculating the displacement of the working portion at the tip according to the rotational speed of the main shaft and correcting the position of the working portion at the tip based on the displacement has been proposed.

  Certainly, the rotational speed of the spindle and the heat generation temperature in the spindle itself have a correlation, but it is not the rotational speed but the overall heating temperature for the spindle that directly controls the displacement of the working part at the tip. Is taken into consideration, the correction method based on the rotational speed is also insufficient in accuracy.

JP 2002-86329 A JP-A-9-108992 Japanese Patent Application Laid-Open No. 5-116053 Japanese Patent Laid-Open No. 8-141883 JP 2002-160142 A JP 2002-36068 A

  The problem to be solved by the present invention is to calculate the displacement in a state in which the temperature condition in the entire main shaft is reflected as accurately as possible, and to realize the correction of the position of the operating part in the tip part. Is.

（但し、ａ_０については、主軸が回転している時間だけ算出し、残りの項は、主軸の回転が終了した後においても、Ｔ_ｉ、Ｔ_ｉ’がそれぞれ測定し得る期間算出することによって、前記ΔＸの補正を算出するものとし、ｎは、発熱部の位置、又はその近傍であって、当該発熱部と概略同様の温度変化を感知し得る位置に設けた温度センサによる入力温度（Ｔ_ｉ）の数を示し、ｍは、前記発熱部から所定の距離を隔てることによって、当該発熱部の温度変化に対し、所定の時間遅れを伴い、かつ変容した温度変化の状態にて感知し得る位置に設けた温度センサによる入力温度（Ｔ_ｉ’）の数を示す。）

In order to solve the above problems, the basic configuration of the present invention is the position of the heat generating portion outside the main shaft at the stage where the main shaft rotates or in the vicinity thereof, and a position that can sense a temperature change substantially similar to the heat generating portion. One or a plurality of temperature sensors are installed in any or all of them, and at a predetermined distance from the heat generating portion, a temperature that is changed with a predetermined time delay with respect to the temperature change of the heat generating portion. One or a plurality of temperature sensors are installed at a position where they can be sensed in a change state, and an input temperature (T _i : absolute temperature is used as a reference) by the temperature sensor at the position of the heat generating portion or a position in the vicinity thereof. . the following temperature display also identical), and the input from the temperature sensor at a position that is at a predetermined distance from the heating unit temperature (T _i ':. absolute temperature as a reference to the following temperature display There are the same also estimated displacement in the axial direction corresponding to.) The ([Delta] X) set by the equation by linear below, the constant in the equation (a _0), and each coefficient (a _i, a i ') pre Is calculated based on the measured value of the actual axial displacement (ΔX) corresponding to the combination of the input temperatures (T _i , T _i ′) by each temperature sensor of FIG. Corresponding to the input temperature (T _i , T _i ′) by the temperature sensor that changes sequentially, the axial displacement (ΔX) is calculated by a computer every predetermined time based on the following formula, and the displacement amount ([Delta] X) only, the displacement correction method for rotating the spindle by adjusting the axial position of the tip of the main shaft is operated, in addition to the axial displacement of the rotary spindle, the axial direction of the tool attached to the distal end of the rotary spindle blade of The displacement (ΔX ′) is the rotational speed (ω), the position of the heat generating part located at the foremost side, or the vicinity thereof, and the temperature provided at a position that can sense a temperature change substantially similar to the heat generating part. The following formula is set based on the input temperature (T) by the sensor, and the constant (c) and the coefficient (k) are the actual displacement of the cutting edge (ΔX) with respect to the input temperature (T) by each of the temperature sensors in advance. ') Is calculated on the basis of the measured value and recorded in the computer memory, and corresponding to the product of the rotational speed (ω), which changes sequentially during rotation, and the input temperature (T) by the heating unit, Displacement correction method for a rotating spindle based on calculating the displacement (ΔX ′) of the blade edge by a computer every predetermined time based on the following formula and further adjusting the position of the spindle by the amount of displacement (ΔX ′) Consists of.
Record

(However, a ₀ is calculated only for the time during which the main shaft is rotating, and the remaining terms are calculated by calculating the periods during which T _i and T _i ′ can be measured even after the main shaft has been rotated. The correction of ΔX is calculated, and n is an input temperature (T) by a temperature sensor provided at or near the position of the heat generating portion and can detect a temperature change substantially similar to the heat generating portion. _i ) indicates the number of m, and m can be sensed in a state of a changed temperature change with a predetermined time delay with respect to the temperature change of the heat generating part by being separated from the heat generating part by a predetermined distance. Indicates the number of input temperatures (T _i ′) by the temperature sensor provided at the position.)

In the present invention, a displacement other than the thermal displacement is caused by the rotation itself, a thermal displacement that directly reflects a temperature change in a heat generating part such as a bearing support part or a connection part with a drive motor, and a predetermined distance from the heat generating part. Thus, by taking into account the thermal displacements that reflect the temperature changes different from the temperature changes of the heat generating part, it is possible to fairly accurately calculate the operating part of the main spindle based on the thermal displacements based on a relatively simple linear mathematical expression. The position can be corrected , and the cutting edge position of the tool in the axial direction can be set even more accurately according to the rotational speed and temperature.

As is apparent from the section of the solution means, the basic configuration adjusts the position of the main shaft in the axial direction based on the displacement of each item as follows.
ΔX = A term that is not related to the heat generation temperature of the heat generating part + A term that directly reflects the temperature change of the heat generating part + A term that is indirectly reflected in a state of considerable change with time delay with respect to the temperature change of the heat generating part
...... (1) '

  The significance of the formula (1) ′ will be described.

  As shown in FIG. 3, the main shaft 1 generates heat at a support portion via at least two bearings, a connection portion with the drive motor 3 at one rear end, and the like. Thermal displacement of the working part at the tip of the main shaft 1 occurs.

  However, the thermal displacement in the main shaft 1 is not directly regulated only by the temperature change of the heat generating part.

Actually, the displacement of the working part at the tip when the main shaft 1 is rotated, as shown in FIG. 1 (a), occurs in the direction of retreating in a pulse once with the start of rotation (time of t = 0). On the other hand, at the stage of the end of rotation (time of t = t ₀ ), a displacement in the direction of moving forward in a pulse manner occurs (in FIG. 1A, the direction of moving backward is the + direction and the direction of moving forward) Is set in the-direction, but when the position of the tip of the main shaft 1 is corrected, the position of the front end is advanced when the main shaft 1 is retracted. To make the settings as described above.)

  On the other hand, apart from the pulse-like displacements as described above, the main shaft 1 is displaced in the forward direction by sequentially extending with the start of rotation, and the displacement state becomes substantially constant at a predetermined time after the start of rotation. Although the temperature of the heat generating part rapidly decreases after the end, the displacement state in the direction of reducing the main shaft 1 is accompanied by a time delay from the temperature decrease of the heat generating part as shown in FIG. Retreat by shrinking, quite slowly.

As described above, the pulse-like change at the start and end of rotation is considered to be caused by a step change depending on the presence or absence of rotation of the main shaft 1. as shown in line a ₀ in FIG. 1 (b), as the cause of the rotation itself, displaced in the direction of retraction initially displacement and as return to the rotation after completion original position, the B shown in FIG. 1 (b) line As shown in Fig. 2, it can be divided into two factors: displacement that advances sequentially by the start of rotation due to heat generation, becomes substantially constant after a predetermined time, and moves backward by successive reduction after the end of rotation. It is.

In the equation (1), the correction coefficient a ₀ of the first term is derived from the displacement based on the rotation itself as shown by the line A ₀ (however, it is limited only to the time when the main shaft can rotate). cage, the remaining second and third terms of are derived from the displacement due to heat generation as shown in line B (provided that the rotation of the main shaft is also displaced in after completion.).

  Although the temperature of the heat generating portion decreases (decays) immediately after the end of rotation, the displacement of the main shaft 1 is reduced, that is, the degree of decrease is slow because the temperature in the main shaft 1 is simply the temperature of the heat generating portion. It shows that it does not change in the same way as the change, but has a factor that changes in the state where the temperature change is delayed and the temperature change in the heat generating part, as in the peripheral part. Yes.

は、（１）’式の第２項に対応しており、ベアリングを介した支持部、駆動モータ３との接続部等の発熱部、又はその近傍であって、発熱部の温度変化を直接反映している項を示している。 In the second term in the equation (1)

Corresponds to the second term of the formula (1) ′, and is a heat generating part such as a support part via a bearing, a connection part with the drive motor 3 or the like, and its temperature change directly in the heat generating part. The reflecting item is shown.

は、前記（１）’式の第３項に対応し、発熱部の温度変化が時間遅れを伴い、かつ相当変容した状態にて間接的に反映している要因を表わす項に該当する。 On the other hand, the third term in the equation (1)

Corresponds to the third term of the expression (1) ′ and corresponds to a term representing a factor that is indirectly reflected in a state in which the temperature change of the heat generating portion is accompanied by a time delay and considerably transformed.

In the equation (1), the temperature change of the measured temperature (T _i ) that directly reflects the temperature change of the heat generation part of the second term and the temperature change of the heat generation part of the third term are indirectly related with a time delay. The portion of the reflected measurement temperature (T _i ′) can be expressed by lines A ₁ and A _{2 obtained} by disassembling line B, as shown in FIG.

The number (n) of input temperatures (T _i ) in the second term and the number (m) of input temperatures (T _i ′) in the third term are not necessarily required to be plural.

  The reason for this is that the temperature change of one heat generating part in the second term is almost the same as the other heat generating parts, and the temperature change with a predetermined time delay with respect to the heat generating part of the third term The factor that is indirectly reflected also causes almost the same change, so that it is possible to set an input temperature that approximately reflects the thermal displacement of the main spindle 1 with one temperature input each. Is derived from.

However, the temperature change of each heating part is not exactly the same, and based on the temperature change of each heating part, there is a temperature change indirectly transformed with a predetermined time delay as in the third section. Since there are various factors to reflect, it is preferable to provide a plurality of measured temperatures (T _i ) of the second term corresponding to each position of the heat generating portion, and the measured temperatures (T _i ′) of the third term are also set. Moreover, it is preferable to employ a plurality based on various positions placed at a predetermined distance from the heat generating portion.

In particular, the temperature sensors 3 at a position away from the heat generating part are divided into groups corresponding to the respective heat generating parts, a plurality of temperature sensors 3 are installed in the group, and The embodiment in which the measured temperature of the temperature sensor 3 is averaged and set as the input temperature (T _i ′) is accompanied by a time delay of the third term corresponding to the temperature change of each heat generating part, and is considerably changed. This is extremely preferable in that the temperature change in the obtained state can be comprehensively reflected.

In the present invention, the linear approximation of the above equation (1) is adopted. However, the constant (a ₀ ) and the coefficients (a _i , a _i ′) are determined based on prior experiments, that is, the input temperature (T _i). , Ti ′), a plurality of combinations corresponding to the number of the constant (a ₀ ) and each coefficient (a _i , a _i ′) are set, and actually generated in correspondence with the plurality of combinations. By measuring the displacement (ΔX), the measured value is input to the equation ( ₁ ), and a linear simultaneous equation is set for the constant (a ₀ ) and each coefficient (a _i , a _i ′). The constant and each coefficient are calculated.

Even if the number of the measurement temperature (T _i , T _i ′) increases and the number of the constants and each coefficient increases, the actual calculation can be realized quickly by matrix calculation by a computer.

In actual correction, the computer calculates the equation (1) with respect to the input temperature (T _i , T _i ′) at predetermined time intervals, and the displacement is corrected based on the calculation.

は、主軸の回転が終了した後においても、各温度Ｔ_ｉ、Ｔ_ｉ’が測定し得る期間 も算出されることになる。 However, since the constant a ₀ is derived from the rotation of the spindle itself, it is calculated only during the period in which the spindle is rotating, and other items

In other words, the period during which the temperatures T _i and T _i ′ can be measured is calculated even after the spindle has been rotated.

In the actual rotation operation of the main shaft 1, heat is generated at the two locations where the main shaft 1 is supported via the bearing and the drive motor 3 as described above. Since it is a connecting part, it is often sufficient to measure _three temperatures T ₁ , T ₂ , and T ₃ .

と表現することが可能である。 On the other hand, with respect to the measured temperature (T _i ′) that indirectly reflects the temperature change at a predetermined distance from the heat generating portion, the connection portion with the drive motor 3 among the three heat generating portions is: Since it is far from the tip of the main shaft 1, this is omitted, and it is often in time for the measured temperature that indirectly reflects the heat generation temperature around the support part via the two bearings. By adopting the measured temperatures (T ₁ ′ and T ₂ ′) at positions separated by a predetermined distance from the two support portions, the thermal displacement can be expressed fairly accurately, (1) ceremony,

Can be expressed.

Therefore, in the present invention, a constant (a ₀ ) obtained in advance by experiment using T ₁ , T ₂ , T ₃ , T ₁ ′, T ₂ ′, T ₃ ′, which are a total of five temperature factors, and each coefficient By adopting (a ₁ , a ₂ , a ₃ , a ₁ ′, a ₂ ′), the displacement due to the rotation itself and the displacement due to the thermal displacement are calculated, and by correcting the displacement, simplicity and Both accuracy can be achieved.

However, the input temperatures (T ₁ ′, T ₂ ′) that indirectly reflect the temperature change are grouped into two heat generating parts, and a plurality of input temperatures are provided for each heat generating group. Temperature sensor 3 is installed and the temperature measured by a plurality of temperature sensors 3 corresponding to each heat generating part is averaged, and the input temperature (T ₁ ′) that indirectly reflects the temperature change of each heat generating part As described above, the embodiment adopted as T ₂ ′) is highly preferable for performing accurate thermal displacement correction.

Thus, the correction corresponding to the thermal displacement can be expressed with a time change as shown by the line B ′ in FIG. 1 (d) based on the second and third terms of the equation (1). In addition to the correction corresponding to such thermal displacement, the correction corresponding to the displacement based on the rotation itself, which is the first term of the equation (1), is superimposed as shown in the line A ₀ ′. The correction by can be expressed by a line as shown in FIG.

  As described above, the displacement of the main shaft 1 can be corrected fairly accurately by calculating the displacement based on the superposition of the three factors as shown in (1) ′.

In the basic configuration, in addition to the axial displacement of the rotating spindle, the axial cutting edge displacement (ΔX ′) of the tool 4 attached to the tip of the rotating spindle is positioned in front of the rotational speed (ω). The following equation is set based on the product of the input temperature (T) by the temperature sensor 3 provided at or near the position of the heat generating portion and at a position where the temperature change can be detected substantially the same as the heat generating portion. The constant (c) and the coefficient (k) are calculated based on the measured values of the actual cutting edge displacement (ΔX ′) with respect to the input temperature (T) by the temperature sensors 3 in advance, and then the computer memory In accordance with the rotational speed (ω and the input temperature (T) by the heat generating portion) that changes sequentially at the time of rotation, the displacement (ΔX ′) of the cutting edge of the tool 4 is calculated at predetermined time intervals based on the following formula. Calculated by the computer and the displacement The position of the spindle 1 is further adjusted by the minute (ΔX ′).
Record

  When the main shaft 1 is rotating, the taper portion of the main shaft 1 at the tip is expanded due to the centrifugal force accompanying the temperature rise and rotation, and the taper portion of the main shaft 1 erodes the tool 4 due to the expansion. The position of the tool 4 must be further displaced in the axial direction due to the biting.

In the basic configuration, in order to correct the displacement of the cutting edge in consideration of the causal relationship due to the expansion of the tapered portion of the spindle 1 → the biting into the tool 4 → the displacement of the cutting edge of the tool 4, the above (4) After setting a mathematical formula based on the displacement formula, a correction based on the mathematical formula is performed.

In the equation (2) , the constant (c) of the first term corresponds to the displacement of the cutting edge accompanying the rotation itself, and the second term is other than the displacement of the first term as shown in FIG. The contribution due to the displacement is roughly proportional to the rotational speed (ω) and the temperature of the heat generating part (base part 2 via the front bearing in the normal case) closest to the tip of the spindle 1. is doing.

The calculation method of the constant (c) and the coefficient (k) in the equation (2) is exactly the same as the calculation method of the constant (a ₀ ) and the coefficients (a _i , a _i ′) in the equation (1).

However, since the expression (2) exhibits the displacement of the tool 4 in a state of being superimposed on the expression (1), it is necessary to perform the preliminary experiment for calculating the constant (c) and the coefficient (k). In order to perform an efficient experiment, it is preferable that the constant (a ₀ ) and the coefficients (a _i , a _i ′) of the formula (1) are previously determined as known numerical values.

The rotational speed (ω) is substantially constant from the start to the end of the rotation. However, considering that the magnitude of the temperature (T) and the state of change depend on the magnitude, the above (2 ) expression is possible also be interpreted as being represented by a complex function of the rotational speed (omega).

In the basic configuration based on the equation (2) , not only the axial displacement of the main shaft 1 but also the displacement of the cutting edge of the tool 4 is superimposed and corrected, that is, the equation (1) Correction by adding equation (2) becomes possible, and the cutting edge position of the tool 4 in the axial direction can be set even more accurately.

  A description will be given below in accordance with examples.

（但し、ａ_０については、主軸が回転している時間だけ算出し、残りの項は、主軸の回転が終了した後においても、Ｔ_ｉ、Ｔ_ｉ’がそれぞれ測定し得る期間算出することによって、前記ΔＸの補正を算出するものとし、ｎ、ｍは、請求項１と同趣旨であり、ｌは、環境温度を感知する位置に設置した温度センサ３による入力温度（Ｔ_ｉ”）の数を示す。） In the first embodiment, the temperature sensor 3 is installed at one or a plurality of positions where the change in the environmental temperature around the spindle 1 is sensed without almost sensing the temperature change of the heat generating portion, and the input temperature ( The estimated displacement (ΔX) due to the addition of Ti ″) is set by the following linear format, and the constant (a ₀ ) and each coefficient (a _i , a _i ′, a _i ″) in the above formula are set in advance. Calculated based on the measured value of the actual axial displacement (ΔX) corresponding to the combination of the input temperatures (T _i , T _i ′, T _i ″) by each temperature sensor 3 and recorded in the memory of the computer Corresponding to the input temperature (T _i , T _i ′, T _i ″) of the temperature sensor 3 that changes sequentially at the time of rotation, the axial displacement (ΔX) is sequentially changed every predetermined time based on the following formula. Calculated by computer Position quantity only ([Delta] X), the spindle 1 is characterized by adjusting the position of the tip operating.
Record

(However, a ₀ is calculated only for the time during which the main shaft is rotating, and the remaining terms are calculated by calculating the periods during which T _i and T _i ′ can be measured even after the main shaft has been rotated. The correction of ΔX is calculated, where n and m have the same meaning as in claim 1, and l is the number of input temperatures (T _i ″) by the temperature sensor 3 installed at a position for sensing the environmental temperature. Is shown.)

  Since the actual displacement of the main shaft 1 depends not only on the temperature displacement due to the heat generating part but also on the environmental temperature unrelated to the heat generating temperature, in the first embodiment, the expression (1) ”is adopted. ing.

  The environmental temperature that hardly affects the temperature of the main shaft 1 and hardly affects the temperature of the main shaft 1 includes the temperatures of the base portion 2 that supports the main shaft 1 from below, and the room temperature of the room.

In the first embodiment, one or a plurality of measured temperatures are adopted for these environmental temperatures, and are further added as the fourth term of the formula (1) ". The constant (a ₀ ) of the formula (1)" is used. , And the calculation method of each coefficient (a _i , a _i ′, a _i ″) are exactly the same as the constant and the calculation method of each coefficient in the equation (1).

  In the first embodiment that employs the expression (1) ", the environmental temperature can be reflected in the displacement in addition to the heat generation temperature, and more accurate axial position correction can be realized.

（但し、ｂ_０については、主軸が回転している時間だけ算出し、残りの項は、主軸の回転が終了した後においても、Ｔ_ｉ、Ｔ_ｉ’がそれぞれ測定し得る期間算出することによって、前記ΔＹの補正を算出するものとし、ｎは、発熱部の位置、又はその近傍であって、当該発熱部と概略同様の温度変化を感知し得る位置に設けた温度センサ３による入力温度（Ｔ_ｉ）の数を示し、ｍは、前記発熱部から所定の距離を隔てることによって、当該発熱部の温度変化に対し、所定の時間遅れを伴い、かつ変容した温度変化の状態にて感知し得る位置に設けた温度センサ３による入力温度（Ｔ_ｉ’）の数を示す。） In the second embodiment, the position of the heat generating portion outside the main shaft 1 at the stage where the main shaft 1 rotates, or the vicinity thereof, and any or all of the positions where temperature changes similar to those of the heat generating portion can be sensed. By installing one or a plurality of temperature sensors 3 and separating a predetermined distance from the heat generating part, the temperature change of the heat generating part is detected with a predetermined time delay and a changed temperature change state. One or a plurality of temperature sensors 3 are installed at such positions, and an input temperature (T _i ) by the temperature sensor 3 at the position of the heat generating part or a position in the vicinity thereof, and a predetermined distance from the heat generating part are set. estimated direction of displacement perpendicular to the axial direction corresponding to the input temperature from the temperature sensor 3 at spaced by being positioned (T _i ') a ([Delta] Y) set by the equation by linear below, the constant in the equation (b ₀ , And measurement of the coefficients (b _i, b i ') prior input temperature by the temperature sensor _{3 (T i, T i'} ) the actual direction of displacement perpendicular to the axial direction corresponding to the combination of ([Delta] Y) Is calculated based on the value and recorded in the memory of the computer, and sequentially corresponds to the input temperature (T _i , T _i ′) by the temperature sensor 3 that changes sequentially according to the rotation. The displacement (ΔY) is calculated by a computer every predetermined time based on the following formula, and the position in the direction perpendicular to the axial direction at the tip where the main shaft 1 operates is adjusted by the amount of displacement (ΔY). It is characterized by being superimposed on the correction of the axial displacement.
Record

(However, b ₀ is calculated only for the time during which the main shaft is rotating, and the remaining terms are calculated by calculating periods during which T _i and T _i ′ can be measured even after the main shaft has been rotated. The correction of ΔY is calculated, and n is an input temperature (Temperature sensor 3 provided at a position at or near the position of the heat generating portion and capable of detecting a temperature change substantially similar to the heat generating portion ( T _i ), and m is a predetermined distance from the heat generating part, and is detected in a transformed temperature change state with a predetermined time delay with respect to the temperature change of the heat generating part. Indicates the number of input temperatures (T _i ′) by the temperature sensor 3 provided at the position to be obtained.)

  The displacement as shown in FIG. 1 reflects not only the axial direction but also a displacement in a direction perpendicular to the axial direction of the main shaft 1 based on the support of the base portion 2.

That is, for the direction orthogonal to the axial direction,
ΔY = a term that is unrelated to the heat generation temperature of the heat generating part + a term that directly reflects the temperature change of the heat generating part + each term that is indirectly reflected in the state with a time delay with respect to the temperature change of the heat generating part. Since the displacement has occurred as a factor, the thermal displacement is calculated by a general expression such as the above expression (3) , and correction in the height direction based on the calculated value is performed.

The calculation method of the constant (b ₀ ) and the coefficients (b _i , b _i ′) in the equation (3) is exactly the same as the calculation method of the constants and the multipliers in the equation (1).

In the case of the second embodiment based on the expression (3), it is possible to correct not only the axial displacement but also the displacement in the direction orthogonal to the axial direction, and the operating position of the tool 4 by the main shaft 1. Can be set to an extremely accurate position.

In the equation (3), as in the equation (1) ", it is naturally possible to set an equation that takes into account the environmental temperature that is irrelevant to the heat generation temperature and reflect the change due to the environmental temperature. .

（但し、ｃ_０については、主軸が回転している時間だけ算出し、残りの項は、主軸の回転が終了した後においても、Ｔ_ｉ、Ｔ_ｉ’がそれぞれ測定し得る期間算出することによって、前記ΔＺの補正を算出するものとし、ｎは、発熱部の位置、又はその近傍であって、当該発熱部と概略同様の温度変化を感知し得る位置に設けた温度センサ３による入力温度（Ｔ_ｉ）の数を示し、ｍは、前記発熱部から所定の距離を隔てることによって、当該発熱部の温度変化に対し、所定の時間遅れを伴い、かつ変容した温度変化の状態にて感知し得る位置に設けた温度センサ３による入力温度（Ｔ_ｉ’）の数を示す。） In the third embodiment, the position of the heat generating portion outside the main shaft 1 at the stage where the main shaft 1 rotates, or the vicinity thereof, and any or all of the positions where temperature changes similar to those of the heat generating portion can be detected. By installing one or a plurality of temperature sensors 3 and separating a predetermined distance from the heat generating part, the temperature change of the heat generating part is detected with a predetermined time delay and a changed temperature change state. One or a plurality of temperature sensors 3 are installed at such positions, and an input temperature (T _i ) by the temperature sensor 3 at the position of the heat generating part or a position in the vicinity thereof, and a predetermined distance from the heat generating part are set. separated current input from the temperature sensor 3 at the position temperature (T _i ') corresponds to the height direction of the estimated displacement of the ([Delta] Z) is set by equation by linear below, the constant in the equation (c _0), and each engaging (C _i, c i ') is calculated based on the measurement values of the pre-input temperature by the temperature sensor _{3 (T i, T i'} ) actual height direction of displacement corresponding to the combination of ([Delta] Z), In addition, the displacement (ΔZ) in the height direction is sequentially calculated based on the following equation in correspondence with the input temperature (T _i , T _i ′) by the temperature sensor 3 that is recorded in the memory of the computer and changes sequentially with the rotation. Calculated by a computer every predetermined time, and adjusting the position in the height direction at the tip where the spindle 1 operates by the amount of displacement (ΔZ) is superimposed on the correction of the displacement in the axial direction. Yes.
Record

(However, c ₀ is calculated only for the time during which the main shaft is rotating, and the remaining terms are calculated by calculating periods during which T _i and T _i ′ can be measured even after the main shaft has been rotated. The correction of ΔZ is calculated, and n is an input temperature (Temperature sensor 3 provided at a position where the temperature change can be detected substantially the same as or near the position of the heat generating portion. T _i ), and m is a predetermined distance from the heat generating part, and is detected in a transformed temperature change state with a predetermined time delay with respect to the temperature change of the heat generating part. Indicates the number of input temperatures (T _i ′) by the temperature sensor 3 provided at the position to be obtained.)

  The displacement shown in FIG. 1 reflects not only the axial direction but also the displacement of the main shaft 1 in the height direction based on the support of the base portion 2.

That is, in the height direction,
ΔZ = a term irrelevant to the heat generation temperature of the heat generating part + a term that directly reflects the temperature change of the heat generating part + each term of the term that is indirectly reflected in the state with a time delay with respect to the temperature change of the heat generating part. Since the displacement has occurred as a factor, the thermal displacement is calculated by the general formula such as the above formula (4) , and the correction in the height direction based on the calculated value is performed.

The calculation method of the constant (c ₀ ) and the respective coefficients (c _i , c _i ′) in the equation (4) is exactly the same as the calculation method of the constant and each multiplier in the equation (1).

In the case of the third embodiment based on the formula (4), it is possible to correct the displacement in the height direction in addition to the displacement in the axial direction, and the operation position of the tool 4 by the spindle 1 is very accurate. Can be set to any position.

In the equation (4), as in the equation (1) ", it is naturally possible to set an equation that takes into account the environmental temperature that is irrelevant to the heat generation temperature and reflect the change due to the environmental temperature. .

  The present invention can be used for accurate displacement correction of the spindle tip in the field of machine tools based on rotation of the spindle holding a tool at the tip.

It is a graph which shows the basic composition of the present invention, (a) shows the axial displacement situation in the tip part of the rotating main axis, and (b) shows the displacement based on the rotation part itself in the above-mentioned displacement. (C) shows a term that directly reflects the temperature change of the heat generating part and the temperature change of the heat generating part with a time delay and transformed. (D) shows the amount of correction corresponding to each displacement of (b), and (e) shows the above equation (1). The situation of correction is shown. In Example 2, it is the graph which showed that the blade edge of a tool was governed by the said (2) Formula. It is a side view which shows the arrangement | positioning relationship between the main axis | shaft which has a tool at the front-end | tip, the base part which supports the said main axis | shaft, a drive motor, etc.

Explanation of symbols

DESCRIPTION OF SYMBOLS 1 Main shaft 2 Base part 3 Drive motor 4 Tool 5 Temperature sensor 6 Oil supply part

Claims (6)

One or a plurality of temperature sensors are provided at any or all of the positions near or near the position of the heat generating portion outside the main shaft at the stage where the main shaft rotates and can detect a temperature change substantially similar to the heat generating portion. A single position is provided at a position where a predetermined distance from the heat generating portion can be sensed by a predetermined time delay with respect to the temperature change of the heat generating portion by being separated from the heat generating portion. Alternatively, a plurality of temperature sensors are installed, and the temperature input by the temperature sensor at the position of the heat generating portion or in the vicinity thereof (T _i : based on the absolute temperature. The same applies to the following temperature display ), and the axial estimated displacement corresponding to by the input temperature (T _i ') a temperature sensor at the position that at a predetermined distance from the heating portion ([Delta] X) set by the equation by linear below, the Constants in the formula _(a 0), and the coefficients _{(a i,} a i ') prior input temperature by the temperature sensor _{(T i,} T i') the actual axial displacement corresponding to the combination of ([Delta] X) Is calculated on the basis of the measured values and recorded in the memory of the computer, and sequentially displaced in the axial direction (ΔX) corresponding to the input temperature (T _i , T _i ′) by the temperature sensor that sequentially changes during rotation. the every lapse of a predetermined time based on the following equation, calculated by a computer, the amount of displacement by ([Delta] X), in the displacement correcting method of the rotating main shaft by the main shaft to adjust the axial position of the tip operating, In addition to the axial displacement of the rotating spindle, the axial displacement (ΔX ') of the tool mounted on the tip of the rotating spindle is the rotational speed (ω), the position of the heating part located at the forefront, or Near the The following equation is set based on an input temperature (T) by a temperature sensor provided at a position where the temperature change can be sensed approximately the same as the unit, and the constant (c) and the coefficient (k) The rotation speed (ω) and the heat generating portion that are calculated based on the measured value of the actual blade edge displacement (ΔX ′) with respect to the input temperature (T) by the temperature sensor, recorded in a computer memory, and sequentially changing during rotation. Corresponding to the product of the input temperature (T) by the calculation of the displacement (ΔX ′) of the cutting edge of the tool every predetermined time based on the following formula, and only the displacement (ΔX ′), A displacement correction method for a rotating spindle based on further adjusting the position of the spindle .
Record

(However, a ₀ is calculated only for the time during which the main shaft is rotating, and the remaining terms are calculated by calculating the periods during which T _i and T _i ′ can be measured even after the main shaft has been rotated. The correction of ΔX is calculated, and n is an input temperature (T) by a temperature sensor provided at or near the position of the heat generating portion and can detect a temperature change substantially similar to the heat generating portion. _i ) indicates the number of m, and m can be sensed in a state of a changed temperature change with a predetermined time delay with respect to the temperature change of the heat generating part by being separated from the heat generating part by a predetermined distance. Indicates the number of input temperatures (T _i ′) by the temperature sensor provided at the position.)

Divide the temperature sensors at a predetermined distance from the heat generating parts into groups for each corresponding heat generating part, install multiple temperature sensors in each group, and measure the temperature sensors in each group The displacement correction method for a rotating spindle according to claim 1, wherein the temperature is averaged to obtain an input temperature (T _i ').   In a configuration in which the main shaft has a support portion via two bearings and a connection portion with one drive motor at the rear end portion, at the position of three heat generating portions or in the vicinity thereof 2. The method of correcting a displacement of a rotating spindle according to claim 1, wherein a temperature sensor is provided and the temperature sensor is provided at one or a plurality of positions separated from each other by a predetermined distance from the positions of the two bearing support portions. A temperature sensor is installed at one or more positions that sense the environmental temperature change around the main shaft, almost without detecting the temperature change of the heat generating part, and the input temperature (Ti ") by the temperature sensor is also taken into account The estimated displacement (ΔX) is set by the following linear format, and the constant (a ₀ ) and each coefficient (a _i , a _i ′, a _i ″) in the above equation are set to the input temperature (T _i , T _i ′, T _i ″) based on a measured value of the actual axial displacement (ΔX) corresponding to the combination, and recorded in a memory of a computer, and a temperature sensor that sequentially changes during rotation Corresponding to the input temperature (T _i , T _i ′, T _i ″) by the computer, the axial displacement (ΔX) is calculated by a computer every predetermined time based on the following formula, and the displacement amount ( ΔX) only, spindle The method of correcting a displacement of a rotating spindle according to claim 1, wherein the method is based on adjusting a position of a tip at which the actuator operates.
Record

(However, a ₀ is calculated only for the time during which the main shaft is rotating, and the remaining terms are calculated by calculating the periods during which T _i and T _i ′ can be measured even after the main shaft has been rotated. The correction of ΔX is calculated, and n and m have the same meaning as in claim 1, and l represents the number of input temperatures (T _i ″) by a temperature sensor installed at a position for sensing the environmental temperature. Show.) One or a plurality of temperature sensors are provided at any or all of the positions near or near the position of the heat generating portion outside the main shaft at the stage where the main shaft rotates and can detect a temperature change substantially similar to the heat generating portion. A single position is provided at a position where a predetermined distance from the heat generating portion can be sensed by a predetermined time delay with respect to the temperature change of the heat generating portion by being separated from the heat generating portion. Alternatively, a plurality of temperature sensors are installed, and the input temperature (T _i ) by the temperature sensor at the position of the heat generating part or the vicinity thereof, and the input temperature by the temperature sensor at a position away from the heat generating part by a predetermined distance (T _i ') perpendicular to the axial direction corresponding to the direction of the estimated displacement of the ([Delta] Y) set by the equation by linear below, the constant in the equation (b _0), and the coefficients (b _{i, i} ') prior input temperature by the temperature sensor (T _i, T i' actual corresponding to a combination of) axially calculated based on the measured value of the displacement in the direction perpendicular ([Delta] Y), and the computer The displacement (ΔY) in the direction perpendicular to the axial direction is predetermined based on the following formula in correspondence with the input temperature (T _i , T _i ′) by the temperature sensor that is recorded in the memory and changes sequentially with the rotation. Calculated by a computer every time, and adjusting the position in the direction orthogonal to the axial direction at the tip where the main shaft operates by the amount of displacement (ΔY) is superimposed on the correction of the axial displacement. The displacement correction method of the rotating spindle according to claim 1.
Record

(However, b ₀ is calculated only for the time during which the main shaft is rotating, and the remaining terms are calculated by calculating periods during which T _i and T _i ′ can be measured even after the main shaft has been rotated. The correction of ΔY is calculated, and n is an input temperature (T) provided by a temperature sensor provided at or near the position of the heat generating portion and can detect a temperature change substantially similar to that of the heat generating portion. _i ) indicates the number of m, and m can be sensed in a state of a changed temperature change with a predetermined time delay with respect to the temperature change of the heat generating part by being separated from the heat generating part by a predetermined distance. Indicates the number of input temperatures (T _i ′) by the temperature sensor provided at the position.) One or a plurality of temperature sensors are provided at any or all of the positions near or near the position of the heat generating portion outside the main shaft at the stage where the main shaft rotates and can detect a temperature change substantially similar to the heat generating portion. A single position is provided at a position where a predetermined distance from the heat generating portion can be sensed by a predetermined time delay with respect to the temperature change of the heat generating portion by being separated from the heat generating portion. Alternatively, a plurality of temperature sensors are installed, and the input temperature (T _i ) by the temperature sensor at the position of the heat generating part or the vicinity thereof, and the input temperature by the temperature sensor at a position away from the heat generating part by a predetermined distance _{(T i} ') corresponds to the height direction of the estimated displacement of the ([Delta] Z) is set by equation by linear below, the constant in the equation _(c 0), and each coefficient _{(c i,} c i') a thing Input temperature (T _i, T i ') by each temperature sensor is calculated based on a measurement of the actual height direction displacement corresponding to a combination of ([Delta] Z), and allowed to recorded in the memory of the computer, rotating Corresponding to the input temperature (T _i , T _i ′) by the temperature sensor that changes sequentially with time, the displacement in the height direction (ΔZ) is calculated by the computer at every predetermined time based on the following formula, The displacement correction method for a rotating spindle according to claim 1, wherein adjusting the position in the height direction at the tip where the spindle operates by the amount of displacement (ΔZ) is superimposed on the correction of the displacement in the axial direction.
Record

(However, c ₀ is calculated only for the time during which the main shaft is rotating, and the remaining terms are calculated by calculating periods during which T _i and T _i ′ can be measured even after the main shaft has been rotated. The correction of ΔZ is calculated, and n is the input temperature (T) provided by a temperature sensor provided at or near the position of the heat generating portion and can detect a temperature change substantially similar to the heat generating portion. _i ) indicates the number of m, and m can be sensed in a state of a changed temperature change with a predetermined time delay with respect to the temperature change of the heat generating part by being separated from the heat generating part by a predetermined distance. Indicates the number of input temperatures (T _i ′) by the temperature sensor provided at the position.)

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